Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - 6-2 Multiplying and Dividing Radical Expressions - Practice and Problem-Solving Exercises - Page 371: 45

Answer

$\dfrac{\sqrt[3]{4x}}{2}$

Work Step by Step

We multiply $\sqrt[3]{2^2}$ to both the numerator and the denominator to remove the radical from the denominator: $=\dfrac{\sqrt[3]{x} \cdot \sqrt[3]{2^2}}{\sqrt[3]{2} \cdot \sqrt[3]{2^2}}$ $=\dfrac{\sqrt[3]{x\cdot 2^2}}{\sqrt[3]{2^3}}$ $=\dfrac{\sqrt[3]{4x}}{2}$
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